The Monty Hall Problem

The Monty Hall problem is an interesting bit of probability based on a game show and named after the presenter of the show. At the final stage of the game the contestant is presented with three doors, behind one is the main prize and behind each of the other pair is a goat. The contestant picks a door at random, then one of the other doors is opened revealing a goat, the contestant is then given the option to stick with their first choice or swap to the other unopened door. The question is, statistically which provides the better chance of winning, sticking or swapping?
The answer and explanation will appear later in the week. An interesting thing to note is that when this was first posed there was a lot of argument amongst experts in the field since it requires some outside the box thinking.